2 times 2=4
multiply first equation by 2 to get
-4x+6y=12
then add to get
-4x+6y=12
<u>4x-2y=8 +</u>
0x+4y=20
4y=20
y=5
sub back
-2x+3y=6
-2x+3(5)=6
-2x+15=6
-2x=-9
x=9/2=4.5
the number to multiply by is 2
Answer:
12 possible outcomes
Step-by-step explanation:
Choosing 1 vehicle from 2 = 2C1 = 2
Choosing 1 color from 3 = 3C1 = 3
Choosing 1 type from 2 = 2C1 = 2
Number of possible outcomes :
2C1 * 3C1 * 2C1
2 * 3 * 2
= 12 different possible outcomes
(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3
Answer:
3rd group of possible answers is the correct set
Step-by-step explanation:
Each of the three points in the 3rd line of possible answers is a solution of the given equation, as can be verified by substitution:
If x = -2, y = -8(-2) = +16
If x = 3, y = -8(3) = -24
If x = -4, y = -8(-4) = +32
